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A quadratic equation with integral coefficient has integral roots. Justify your answer. - Mathematics

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Sum

A quadratic equation with integral coefficient has integral roots. Justify your answer.

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Solution

No, a quadratic equation with integral coefficients may or may not have integral roots.

Justification:

Consider the following equation,

8x2 – 2x – 1 = 0

The roots of the given equation are `1/2` and `-1/4` which are not integers.

Hence, a quadratic equation with integral coefficient might or might not have integral roots.

Concept: Nature of Roots
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APPEARS IN

NCERT Mathematics Exemplar Class 10
Chapter 4 Quadatric Euation
Exercise 4.2 | Q 3 | Page 39
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